An approximate method for determining the frequency dependent current distribution in a ground plane

摘要

This MS thesis proposes a methodology to compute a frequency dependent current distribution for a ground plane with the ultimate aim of utilizing this current distribution to compute the plane parasitics. A iterative finite differencing technique is utilized to solve a two dimensional diffusion equation for the current distribution on the plane. Starting with an initial DC current density over the entire plane grid, the frequency dependent current density is obtained by imposing the necessary boundary conditions and allowing the current to redistribute itself over the plane. An iterative procedure based on simultaneous over relaxation is employed to get faster convergence. This method takes into account the presence of sources, sinks and holes on the plane. Finally the plane parasitics are computed using integral methods and energy considerations.